Uniqueness and stability of forced waves for the Fisher–KPP equation in a shifting environment

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-08 DOI:10.1016/j.na.2024.113607

Jong-Shenq Guo , Karen Guo , Masahiko Shimojo

引用次数: 0

Abstract

In this paper, we investigate the existence, uniqueness and stability of forced waves for the Fisher–KPP equation in a shifting environment without imposing the monotonicity condition on the shifting intrinsic growth term. First, the existence of forced waves for some range of shifting speeds is proved. Then we prove the uniqueness of saturation forced waves. Moreover, a new method is introduced to derive the non-existence of forced waves. Finally, we derive the stability of forced waves under certain perturbation of a class of initial data.

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移动环境中 Fisher-KPP 方程受迫波的唯一性和稳定性

在本文中，我们研究了 Fisher-KPP 方程在位移环境中强迫波的存在性、唯一性和稳定性，而不对位移本征增长项施加单调性条件。首先，我们证明了在一定移动速度范围内强迫波的存在性。然后，我们证明了饱和强迫波的唯一性。此外，我们还引入了一种新方法来推导强迫波的不存在性。最后，我们推导了在一类初始数据的特定扰动下受迫波的稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.